How many equal parts do you need to cut a conductor with a resistance of 64 ohms in order to connect

How many equal parts do you need to cut a conductor with a resistance of 64 ohms in order to connect these parts in parallel to obtain a resistance of 1 ohm?

Initial data: Rн (initial resistance of the whole conductor) = 64 Ohm; R (required parallel connection resistance of the resulting conductors) = 1 ohm.

Resistance of the obtained parallel-connected equal conductors: R = R1 / n; 1 = R1 / n; n = R1 = Rn / n; n ^ 2 = Rn and n = √Rn = √64 = 8 parts.

Answer: The conductor will need to be cut into 8 pieces.



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